Operadic Hochschild chain complex and free loop spaces

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dc.creatorChataur, David
dc.creatorThomas, Jean-Claude
dc.date2002-11-26
dc.date2002-12-16
dc.date.accessioned2026-07-07T04:53:19Z
dc.date.available2026-07-07T04:53:19Z
dc.descriptionWe construct for any algebra over an operad an Hochschild chain complex. In the case of the singular cochain complex of a topological space, considered as a commutative algebra up to homotopy, we show that this complex computes the singular cohomology of the free loop space over this topological space.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0211415
dc.identifierhttp://arxiv.org/abs/math/0211415
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65802
dc.subjectAlgebraic Topology
dc.subjectQuantum Algebra
dc.subject55U35, 18Dxx, 55P15, 55P60
dc.titleOperadic Hochschild chain complex and free loop spaces
dc.typetext

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